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The Banach-Tarski paradox

The Banach-Tarski paradox more books like this

by S Wagon

The Banach-Tarski paradox is a most striking mathematical construction: it asserts that a solid ball may be taken apart into finitely many pieces that can be rearranged using rigid motions to form a ball twice as large as the original. This volume explores the consequences of the paradox for measure theory and its connections with group theory, ...

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The Pea and the Sun: A Mathematical Paradox

The Pea and the Sun: A Mathematical Paradox more books like this

by Leonard M Wapner

Take an apple and cut it into five pieces. Would you believe that these five pieces can be reassembled in such a manner that would to create two apples equal in shape and size to the original? Would you believe that you could make something as large as the Sun by breaking something so small as a pea into a finite number of pieces and putting it ...

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